Numerical Solution of Integral Equations
Title: Numerical Solution of Integral Equations | Author(s): K. E. Atkinson (auth.), Michael A. Golberg (eds.) | Publisher: Springer | Year: 1990 | Language: English | Pages : 418 | Size: 3 MB | Extension: djvu
In 1979, I edited Volume 18 in this series: Solution Methods for Integral Equations: Theory and Applications. Since that time, there has been an explosive growth in all aspects of the numerical solution of integral equations. By my estimate over 2000 papers on this subject have been published in the last decade, and more than 60 books on theory and applications have appeared. In particular, as can be seen in many of the chapters in this book, integral equation techniques are playing an increas ingly important role in the solution of many scientific and…
Equations of Mathematical Diffraction Theory
Title: Equations of Mathematical Diffraction Theory | Author(s): Mezhlum A. Sumbatyan, Antonio Scalia | Publisher: CRC Press | Year: 2005 | Language: English | Pages : 291 | Size: 2 MB | Extension: pdf
Equations of Mathematical Diffraction Theory focuses on the comparative analysis and development of efficient analytical methods for solving equations of mathematical diffraction theory. Following an overview of some general properties of integral and differential operators in the context of the linear theory of diffraction processes, the authors provide estimates of the operator norms for various ranges of the wave number variation, and then examine the spectral properties of these operators. They also present a new analytical method for constructing asymptotic…